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Finding the Fourth Proportional to 7,848, 10,829.76 and 4,311.12

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Solution

The fourth proportional to 7,848, 10,829.76 and 4,311.12 is: 5,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848 : 10,829.76 = 4,311.12 : x
  2. Step 2: Convert to fraction form
    7,848/10,829.76 = 4,311.12/x
  3. Step 3: Cross multiply
    7,848x = 10,829.76 × 4,311.12
  4. Step 4: Simplify right side
    7,848x = 46,688,394.93
  5. Step 5: Solve for x
    x = 46,688,394.93/7,848
  6. Step 6: Final answer
    x = 5,949.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.